Abstract: Composites are multi-scale in nature. The multi-scale simulation stands among one of the most important methods for response analysis of composites, due to its ability to incorporate micro scale damage initiation, evolution and the corresponding effects in macro material property and mechanical behavior. The multi-scale asymptotic expansion theory was used to decompose macro and micro scale governing equation from the original elastic ones, from which the relationship between macro scale and micro scale response was established. Based on synergistic multi-scale computational technique, a multi-scale simulation framework was proposed, and development capability provided in commercial finite element software, including user subroutines and scripts were used to implement it. The developed framework can call micro scale model to carry out multi-scale progressive damage simulation during macro model calculation, and information exchange and feedback between macro and micro scale were realized. Micro scale damage model and macro scale phenomenological strength theory can be easily integrated into this multi-scale numerical simulation method with good generality. The tensile simulation example results of carbon/carbon composites shows good agreement with test results.